|DATE||November 13 (Fri), 2020|
|TITLE||On the Gan-Gross-Prasad conjecture for skew-hermitian unitary group|
|ABSTRACT||One of the most fundamental problem in the relative Langlands program is to find the relation between period integrals and some automorphic L-function. Among them, the Gan-Gross-Prasad(GGP) conjecture is the most famous problem in this context.
Building upon the huge development of the theory of endoscopy for the past 10 years (for example, Ngo’s Fundamental lemma, Arthur’s endoscopic classification of automorphic representations), there have been remarkable progresses toward the GGP conjecture.
In this talk, I will introduce the GGP conjecture and report some celebrated achievements so far toward it. In the end, we will discuss the proof of the one direction of the GGP conjecture for skew-hermitian unitary groups.